Conservation of Circulation in Magnetohydrodynamics

Details Conservation of Circulation in Magnetohydrodynamics Conservation of Circulation in Magnetohydrodynamics

2000-02-02

arxiv.org/abs/astro-ph/0002045v2

Phys.Rev. E62 (2000) 5594-5602

Astronomy and Astrophysics

Astrophysics

RevTeX, 17 pages, elaboration on the meaning of the vector tau; corrected references. To appear in Physical Review E, Oct. 200

Scientific paper

10.1103/PhysRevE.62.5594

We demonstrate, both at the Newtonian and (general) relativistic levels, the existence of a generalization of Kelvin's circulation theorem (for pure fluids) which is applicable to perfect magnetohydrodynamics. The argument is based on the least action principle for magnetohydrodynamic flow. Examples of the new conservation law are furnished. The new theorem should be helpful in identifying new kinds of vortex phenomena distinct from magnetic ropes or fluid vortices.

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